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Finding the Fourth Proportional to 1,091.04, 1,636.24 and 513.76

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Solution

The fourth proportional to 1,091.04, 1,636.24 and 513.76 is: 770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.04 : 1,636.24 = 513.76 : x
  2. Step 2: Convert to fraction form
    1,091.04/1,636.24 = 513.76/x
  3. Step 3: Cross multiply
    1,091.04x = 1,636.24 × 513.76
  4. Step 4: Simplify right side
    1,091.04x = 840,634.66
  5. Step 5: Solve for x
    x = 840,634.66/1,091.04
  6. Step 6: Final answer
    x = 770.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.